Szczegóły publikacji
Opis bibliograficzny
Computer assisted proof of drift orbits along normally hyperbolic manifolds II: application to the restricted three body problem / Maciej J. CAPIŃSKI, Natalia WODKA-CHOLEWA // Communications in Nonlinear Science and Numerical Simulation ; ISSN 1007-5704. — 2022 — vol. 111 art. no. 106424, s. 1–28. — Bibliogr. s. 28, Abstr. — Publikacja dostępna online od: 2022-03-29
Autorzy (2)
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 139805 |
|---|---|
| Data dodania do BaDAP | 2022-04-12 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.cnsns.2022.106424 |
| Rok publikacji | 2022 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Communications in Nonlinear Science & Numerical Simulation |
Abstract
We present a computer assisted proof of diffusion in the Planar Elliptic Restricted Three Body Problem. We treat the elliptic problem as a perturbation of the circular problem, where the perturbation parameter is the eccentricity of the primaries. The unperturbed system preserves energy, and we show that for sufficiently small perturbations we have orbits with explicit energy changes, independent from the size of the perturbation. The result is based on shadowing of orbits along transversal intersections of stable/unstable manifolds of a normally hyperbolic cylinder.
